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The solution of $\sin^{4} x = 1 + \cos^{6} x$ is $x =$

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$nπ + \frac{π}{2}, n \in Z$

$2 nπ + \frac{π}{2}, n \in Z$

$2 nπ, n \in Z$

$nπ, n \in Z$

answer is C.

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Detailed Solution

$\sin^{4} x = 1 + \cos^{6} x \sin x = \pm 1, \cos x = 0 x = nπ + \frac{π}{2}$

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